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Simplifying (5x + -6y) + -1(8x + 2) = 0 Remove parenthesis around (5x + -6y) 5x + -6y + -1(8x + 2) = 0 Reorder the terms: 5x + -6y + -1(2 + 8x) = 0 5x + -6y + (2 * -1 + 8x * -1) = 0 5x + -6y + (-2 + -8x) = 0 Reorder the terms: -2 + 5x + -8x + -6y = 0 Combine like terms: 5x + -8x = -3x -2 + -3x + -6y = 0 Solving -2 + -3x + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -3x + 2 + -6y = 0 + 2 Reorder the terms: -2 + 2 + -3x + -6y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x + -6y = 0 + 2 -3x + -6y = 0 + 2 Combine like terms: 0 + 2 = 2 -3x + -6y = 2 Add '6y' to each side of the equation. -3x + -6y + 6y = 2 + 6y Combine like terms: -6y + 6y = 0 -3x + 0 = 2 + 6y -3x = 2 + 6y Divide each side by '-3'. x = -0.6666666667 + -2y Simplifying x = -0.6666666667 + -2y
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